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142320300 = 223521812621
BaseRepresentation
bin10000111101110…
…10001010101100
3100220210121202020
420132322022230
5242413222200
622042230140
73345462663
oct1036721254
9326717666
10142320300
1173377391
123b7b5350
13236404c5
1414c89dda
15c763ea0
hex87ba2ac

142320300 has 72 divisors (see below), whose sum is σ = 414213072. Its totient is φ = 37728000.

The previous prime is 142320247. The next prime is 142320301. The reversal of 142320300 is 3023241.

142320300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 142320300.

It is not an unprimeable number, because it can be changed into a prime (142320301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52990 + ... + 55610.

Almost surely, 2142320300 is an apocalyptic number.

142320300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142320300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207106536).

142320300 is an abundant number, since it is smaller than the sum of its proper divisors (271892772).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

142320300 is a wasteful number, since it uses less digits than its factorization.

142320300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2819 (or 2812 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 142320300 is about 11929.8072071597. The cubic root of 142320300 is about 522.1023125593.

Adding to 142320300 its reverse (3023241), we get a palindrome (145343541).

The spelling of 142320300 in words is "one hundred forty-two million, three hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 181 300 362 543 724 905 1086 1810 2172 2621 2715 3620 4525 5242 5430 7863 9050 10484 10860 13105 13575 15726 18100 26210 27150 31452 39315 52420 54300 65525 78630 131050 157260 196575 262100 393150 474401 786300 948802 1423203 1897604 2372005 2846406 4744010 5692812 7116015 9488020 11860025 14232030 23720050 28464060 35580075 47440100 71160150 142320300